17 citations · 43 across the 11 of their papers we have counts for
6 papers · 1 filter
The Vector and Canonical Components of the Momentum Operator in 3D Euclidean Space Spanned by General Curvilinear Coordinates
M. S. Shikakhwa
We construct the Hermitian vector and canonical components of the momentum operator in 3D Euclidean space spanned by general curvilinear coordinates (GCC's) using a simple, natural…
Hamiltonian, Geometric Momentum and Force Operators for a Spin Zero Particle on a Curve: Physical Approach
M. S. Shikakhwa, N. Chair
The Hamiltonian for a spin zero particle that is confined to a curve embedded in the 3D space is constructed by squeezing the coordinates spanning a tube normal to the curve onto t…
Hermitian and Gauge-Covariant Hamiltonians for a particle in a magnetic field on Cylindrical and Spherical Surfaces
M. S. Shikakhwa, N. Chair
We construct the Hermitian Schrödinger Hamiltonian of spin-less as well as the gauge-covariant Pauli Hamiltonian of spin one-half particles in a magnetic field that are confined to…
Hamiltonian for a particle in a magnetic field on a curved surface in orthogonal curvilinear coordinates
M. S. Shikakhwa, N. Chair
The Schrödinger Hamiltonian of a spin zero particle as well as the Pauli Hamiltonian with spin-orbit coupling included of a spin one-half particle in electromagnetic fields that ar…
Derivation of the magnetization current from the non-relativistic Pauli equation: A comment on "The quantum mechanical current of the Pauli equation" by Marek Nowakowski [Am.J.Phys.67(10), 916-919 (1999)]
M. S. Shikakhwa, S. Turgut, N. K. Pak
The magnetization current that appears in the non-relativistic limit of the Dirac equation is derived starting from the Pauli equation.
SU(2) Symmetry and Conservation of Helicity for a Dirac Particle in a Static Magnetic Field at First Order
M. S. Shikakhwa, A. Albaid
We investigate the spin dynamics and the conservation of helicity in the first order matrix of a Dirac particle in any static magnetic field. We express the dynamical quantitie…